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Finding the Fourth Proportional to 114,460.80, 171,691.20 and 106,166.40

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Solution

The fourth proportional to 114,460.80, 171,691.20 and 106,166.40 is: 159,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,460.80 : 171,691.20 = 106,166.40 : x
  2. Step 2: Convert to fraction form
    114,460.80/171,691.20 = 106,166.40/x
  3. Step 3: Cross multiply
    114,460.80x = 171,691.20 × 106,166.40
  4. Step 4: Simplify right side
    114,460.80x = 18,227,836,615.68
  5. Step 5: Solve for x
    x = 18,227,836,615.68/114,460.80
  6. Step 6: Final answer
    x = 159,249.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.